Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840t |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-213269872640 = -1 · 221 · 5 · 11 · 432 |
Discriminant |
Eigenvalues |
2- -1 5- 3 11+ -4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,560,21440] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:128:1] |
Generators of the group modulo torsion |
j |
4733169839/52067840 |
j-invariant |
L |
4.8822160442153 |
L(r)(E,1)/r! |
Ω |
0.73581529280883 |
Real period |
R |
0.82938885817045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730j1 |
Quadratic twists by: -4 |